%I #8 Jun 19 2016 02:48:20

%S 1,1,1,2,4,2,6,16,14,4,22,68,78,40,8,90,304,410,284,104,16,394,1412,

%T 2122,1776,896,256,32,1806,6752,10966,10468,6496,2592,608,64,8558,

%U 33028,56870,59832,43016,21376,7072,1408,128,41586,164512,296498,336252

%N Triangle T(n,k), 0<=k<=n, read by rows given by [1,1,2,1,2,1,2,1,2,1,2,...] DELTA [1,1,0,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938.

%F T(n,0) = T(n-1,0) + T(n-1,1).

%F T(n,1) = T(n-1,0) + 3*T(n-1,1) + T(n-1,2).

%F T(n,k) = 2*T(n-1,k-1) + 3*T(n-1,k) + T(n-1,k+1) for k>1.

%e Triangle begins:

%e 1 ;

%e 1,1 ;

%e 2,4,2 ;

%e 6,16,14,4 ;

%e 22,68,78,40,8 ;

%e 90,304,410,284,104,16 ;

%e ...

%Y Cf. A132372, A155069, A006319, A011782.

%K nonn,tabl

%O 0,4

%A _Philippe Deléham_, Nov 08 2009